forty-two people go to a ballgame. they ride to the game in cars. each car holds 6 people.what is the least number of cars they need for all the people?

Answer:

X = 32

Step-by-step explanation:

X/4 = 8

To solve for x, multiply each side by 4

X/4*4 = 8*4

X = 32

Answer:

20ft

Step-by-step explanation:

100 divided by 5 is 20

Answer:

20 feet.

Step-by-step explanation:

100/5=20

Answer:

13

Step-by-step explanation:

square root of 12^2 + 5^2

Answer:

you are super nice to let me do this

Step-by-step explanation:

thank you, tgbrrhrbrtbrtrtbrlhixtrdfybvnbjhjgtfugfg...

- Audrina

The expected time (also known as the expected value or the mean) Is approximately 12.5 days.

The expected time for an activity is the average time it is likely to take, taking into account its optimistic, most likely, and pessimistic estimates. The three-point estimate formula is used to calculate the expected time by weighting the most likely estimate four times as much as the optimistic and pessimistic estimates. In this case, the optimistic time is 15 days, the most likely time is 18 days, and the pessimistic time is 27 days. By plugging these values into the formula, the expected time is calculated to be 12.5 days. This means that, on average, the activity is likely to take 12.5 days to complete.

The expected time (also known as the expected value or the mean) can be calculated using the three-point estimate formula, which is:

Expected time = (Optimistic time + 4 * Most likely time + Pessimistic time) / 6

Plugging in the values, we get:

Expected time = (15 + 4 * 18 + 27) / 6 = (75) / 6 = 12.5

So the expected time for this activity is 12.5 days.

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Answer:

Just put

a)

b)

c)

in the first column.

Next, substitute the values in the respective places.

For example, next to the a) and -3, put the value of y = x² + 1

In this case, 9 + 1 or 10

So, put 10 in the top left of the white spaces.

Hope you know what to do now.

Thanks

Answer:

Step-by-step explanation:

Answer:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660

Step-by-step explanation:

Money he has:

$660 "Omar has $660 to spend "

Money he spends:

$330.64 "A new bicycle for $330.64." $330.64 +

+2· $15.34 "He buys 2 bicycle reflectors for $15.34 each"

+$34.47 "a pair of bike gloves for $34.47."

+x·$36.30 "new biking outfits for $36.30 each", where x-is the number of outfits he can buy

$330.64 +2· $15.34+$34.47 + $36.30·x

The inequality that can be used to determine x, the maximum number of outfits Omar can purchase while staying within his budget is:

$330.64 +2· $15.34+$34.47 + $36.30·x ≤ 660

The maximum number of outfits he can buy is:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660, we first do multiplication 2·15.34

330.64 + 30.68 + 34.47 + 36.30·x ≤ 660, add like terms

395.79 +36.30x ≤ 660, subtract 395.79 from both sides

36.30x ≤ 660 - 395.79, combine like terms 660 - 395.79

36.30x ≤ 264.21, divide both sides by 36.30

x ≤ 264.21/36.30, divide and round to the nearest hundredths

x ≤ 7.28

To stay on budget Omar can buy 7 outfits.

Answer:

4(x-2)

Step-by-step explanation:

Grouping 4x-8 is the common factor

Answer:

25%

Step-by-step explanation:

The (not mentioned in the question) set is: 6 7 8 9.

There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:

P(9) = favorable outcome/total outcomes

P(9) = 1/4 = 0.25 or 0.25*100 = 25%

Answer:

$1125

Step-by-step explanation:

you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.

Answer:

2

Step-by-step explanation:

Answer:

The volume of the cone is 3140cm³

Step-by-step explanation:

Volume of come = 1/3 × πr²h

r = diameter/2 = 20/2 = 10cm

h = 30cm

π = 22/7

Volume = 1/3 × 22/7 × 10² × 30

Volume = 1/3 × 22/7 × 100 × 30

Volume = 3142.86cm³

Volume = 3140cm³

Answer:

\( x = 13.8 ft \)

Step-by-step explanation:

Since it's a right triangle, apply pythagorean theorem.

The formula is given as a² + b² = c²

Where,

a = 3.7 ft

c = 14.3 ft

b = x

Plug in the values into the formula:

\( 3.7^2 + x^2 = 14.3^2 \)

\( 13.69 + x^2 = 204.49 \)

Subtract 13.68 from both sides

\( x^2 = 204.49 - 13.69 \)

\( x^2 = 190.8 \)

\( \sqrt{x^2} = \sqrt{190.8} \)

\( x = 13.8 \) (nearest tenth)

Answer:

78.463° = 78°27'47" = 1.36944 rad

44.415° = 44°24'55" = 0.77519 rad

57.122° = 57°7'18" = 0.99696 rad

(degrees = grades = radian)

Answer:

Cow

Step-by-step explanation:

The Cow's heartbeat is 520 beats in 8 minutes. This means that you can divide 520 by 8 to get your beats per minute count. 520/8 = 65.

Answer:cow

Step-by-step explanation:

The expected value of a ticket in the given lottery game is -$0.60, indicating that, on average, a person can expect to lose $0.60 per ticket.

To calculate the expected value of a ticket, we need to multiply the value of each prize by its respective probability and sum them up.

For the grand prize of $4 million, the probability of winning is 1 divided by the total number of tickets sold, which is 1/3.5 million. Therefore, the contribution to the expected value from the grand prize is (1/3.5 million) * $4 million.

For the second prize of $30, there are 10,000 winners out of 3.5 million tickets sold, giving a probability of 10,000/3.5 million. The contribution from the second prize is (10,000/3.5 million) * $30.

Similarly, for the third prize of $5, there are 50,000 winners out of 3.5 million tickets sold, giving a probability of 50,000/3.5 million. The contribution from the third prize is (50,000/3.5 million) * $5.

To calculate the expected value, we sum up the contributions from each prize and subtract the cost of the ticket, which is $2.

The result is the expected value of -$0.60, indicating an average loss of $0.60 per ticket.

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The absolute value of the elasticity of demand for labor is 0.375.To determine the absolute value of the elasticity of demand for labor, given the increase in wage rate from $9 to $11 and the corresponding decrease in quantity demanded of labor from 600 workers to 550 workers, we need to calculate the percentage change in quantity demanded and the percentage change in wage rate.

The elasticity of demand for labor measures the responsiveness of quantity demanded to changes in wage rate.

The formula to calculate the elasticity of demand is:

Elasticity of Demand = (Percentage Change in Quantity Demanded) / (Percentage Change in Wage Rate)

To find the absolute value of the elasticity of demand for labor, we need to calculate the percentage changes in quantity demanded and wage rate.

Percentage Change in Quantity Demanded = [(New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded] * 100

                             = [(550 - 600) / 600] * 100

                             = (-50 / 600) * 100

                             = -8.33%

Percentage Change in Wage Rate = [(New Wage Rate - Initial Wage Rate) / Initial Wage Rate] * 100

                       = [(11 - 9) / 9] * 100

                       = (2 / 9) * 100

                       = 22.22%

Now, we can calculate the absolute value of the elasticity of demand for labor:

Elasticity of Demand = |-8.33% / 22.22%|

                    = 0.375

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Answer:

\((2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you\)

Answer:

32 newspapers

Step-by-step explanation:

6.4 / 0.2 = 32

Answer:

32 papers

Step-by-step explanation:

Take the total amount and divide by .20

6.40 / .20

Multiply the top and bottom by 10

64/2

32

Answer:

378

Step-by-step explanation:

ii. We use the binomial theorem which states that,

\((a + b) {}^{n} = \binom{n}{0} a {}^{n} b {}^{0} + \binom{n}{1} a {}^{n - 1} b {}^{1} + \binom{n}{2} a {}^{n - 2} b {}^{2} + \binom{n}{3} a {}^{n - 3} b {}^{3} + ...... \binom{n}{n - 2} a {}^{2} b {}^{n - 2} + \binom{n}{n - 1} {a}^{1} b {}^{n - 1} + \binom{n}{n} a {}^{0} {b}^{n} \)

I'll explain in depth if you want me to.

We have

\((3a - \frac{b}{3} ) {}^{9} \)

We must find the coeffeicent that include term.

\( {a}^{5} b {}^{4} \)

The first term of the binomial expansion is a which has a degree 9 and b has a degree of 0. and since the term, a has a^5 and b^4. here this must that 9 must choose 4.

So let do the combinations formula,

\( \binom{9}{4} = \frac{9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(4 \times 3 \times 2 \times 1)(5 \times 4 \times 3 \times 2 \times 1)} \)

\( \binom{9}{4} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} \)

\( \binom{9}{4} = 126\)

So during that point our expansion will include.

\(126(3a) {}^{5} ( - \frac{b}{3} ) {}^{4} \)

\(126(243 {a}^{ {5} } \times \frac{b {}^{4} }{81} ) = 126(3a {}^{5} b {}^{4} )\)

\(378 {a}^{5} {b}^{4} \)

So the coeffeicent is 378

The probability that the mean GPA of a random sample of 20 students selected from this university  is 3.10 or higher is 10.93%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Problems of normally distributed samples are solved using the z-score methods.

We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:

                              Z = X - μ/σ

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the p- value of Z when X = 3.10. So

By the Central Limit Theorem:

             Z = X - μ / s

       ⇒  Z = 3.1 - 3.02/ 0.0648

       ⇒ Z = 1.23

The Z = 1.23 has a P- value of 0.8907

∴ 1 - 0.8907 = 0.1093

Now, for  getting the percentage,

0.1093 × 100% = 10.93%

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

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Answer:

x = -3

Step-by-step explanation:

Start by distributing the 4 to the terms in the parentheses:

4(-4x)+4(-1)+x+3=44

-16x-4+x+3=44

Combine like terms

-15x-1=44

Add 1 to both sides

-15x-1+1=44+1

-15x=45

Divide both sides by -15

x = -3

Answer: x = -3

Step-by-step explanation: distribute, combine, divide, you get x = -3

Answer:

The answer is 8a-28b+15c

Step-by-step explanation:

To find the length of arc BC, we need to use the formula: arc length = radius * angle (in radians). Given the radius is 4 feet and the angle BAC is 1/4 of one radian, we can calculate the arc length as follows:
Arc length = 4 * (1/4) = 1 foot
So, the length of arc BC in the circle with a radius of 4 feet is 1 foot.

To find the length of arc BC, we need to first find the circumference of the circle using the radius given.

The formula for circumference is:
C = 2πr
where r is the radius and π is a constant approximately equal to 3.14.

Plugging in the given radius of 4 feet, we get:
C = 2π(4) = 8π

So the circumference of the circle is 8π feet.

Next, we need to find the length of the arc BC, which is a portion of the circumference. To do this, we need to find the central angle that subtends arc BC.

Since angle BAC is 1/4 of one radian, we can find the central angle by multiplying 1/4 by 180/π degrees (since there are 180 degrees in one radian).

1/4 * 180/π ≈ 45.57 degrees

So the central angle that subtends arc BC is approximately 45.57 degrees.
To find the length of arc BC, we can use the formula:
arc length = (central angle/360) * circumference

Plugging in the values we found, we get:
arc length = (45.57/360) * 8π
arc length ≈ 1.018 feet

So the length of arc BC is approximately 1.018 feet.

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5/98 is the probability he will choose one green marble and then one red marble.

Definition of probability

Three Types of Probability-

P(green) = ⇒ 5/14

P(red) = ⇒ 2/14

P(green and red) = ⇒ 5/98

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The expression 0.40a can be simplified to an equivalent expression. To find an equivalent expression to 0.40a, we can simplify the expression by performing the multiplication. 0.40 is equivalent to 40/100 or 2/5 as a fraction. Therefore, we can rewrite the expression as (2/5)a.

The expression (2/5)a is equivalent to 0.40a. Both expressions represent the same concept, which is reducing the original attendance at a play by 40%. In this case, multiplying the original attendance, a, by 0.40 or (2/5) gives us the reduced attendance for the next performance.

It is important to note that the equivalent expression (2/5)a may be preferred in certain situations, such as when performing further calculations or comparisons with other values. The choice between using 0.40a or (2/5)a depends on the specific context and requirements of the problem at hand.

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Answer:

10x + 3

Step-by-step explanation:

(A tip: separate them. I put one line under the x´s and two under the numbers)

x + 2x + 7x = 10x (add the numbers and put x at the end)

1 + 1 + 1 = 3

Answer:

=20x+2

If im wrong correct me and plus cant explain it because im in a rush

Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.

A system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.

A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.

In this problem, we need to define our variables and the solve the equations.

Let;

x + 2y = 31 ...eq(i)

3x + y = 38 ...eq(ii)

Solving both equations

x = 9, y = 11

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